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12299639040 = 283251382129
BaseRepresentation
bin10110111010001110…
…11001100100000000
31011202011221101211200
423131013121210000
5200142201422130
65352251541200
7613540130643
oct133507314400
934664841750
1012299639040
115241909947
12247315a800
131210267230
14849739a5a
154bec0c760
hex2dd1d9900

12299639040 has 216 divisors, whose sum is σ = 45829525560. Its totient is φ = 3027566592.

The previous prime is 12299639021. The next prime is 12299639059. The reversal of 12299639040 is 4093699221.

It is a happy number.

12299639040 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 9 + 639 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12299639021) and next prime (12299639059).

It can be written as a sum of positive squares in 4 ways, for example, as 312016896 + 11987622144 = 17664^2 + 109488^2 .

It is a super-2 number, since 2×122996390402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108696 + ... + 190824.

Almost surely, 212299639040 is an apocalyptic number.

12299639040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12299639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22914762780).

12299639040 is an abundant number, since it is smaller than the sum of its proper divisors (33529886520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12299639040 is a wasteful number, since it uses less digits than its factorization.

12299639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82169 (or 82152 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12299639040 in words is "twelve billion, two hundred ninety-nine million, six hundred thirty-nine thousand, forty".